Urgent 1
Dear Professor,
HIGH SCHOOL MATHEMATICS PERFORMANCE VS THE COLLEGE STATISTICS PERFORMANCE
In this project, I would like to ascertain whether there exists a relationship between a student’s entry points in college and the performance of the student in college. The question that the study seek to answer is, Does the performance of a student in college depends on the students’ high school performance?
METHODS OF THE STUDY
The data of this study were collected using a questionnaire. The questionnaire had three parts on gender, the response based on the high school score in mathematics and the last statistics exam score. The data below was collected from 30 students within the college and recorded in table 1
|
ID |
GENDER |
HIGH SCHOOL (X) |
COLLEGE (Y) |
|
1 |
FEMALE |
78 |
65 |
|
2 |
FEMALE |
82 |
88 |
|
3 |
FEMALE |
58 |
38 |
|
4 |
FEMALE |
77 |
77 |
|
5 |
MALE |
73 |
86 |
|
6 |
MALE |
73 |
64 |
|
7 |
MALE |
75 |
78 |
|
8 |
FEMALE |
60 |
69 |
|
9 |
MALE |
88 |
84 |
|
10 |
MALE |
89 |
68 |
|
11 |
FEMALE |
57 |
38 |
|
12 |
FEMALE |
65 |
70 |
|
13 |
FEMALE |
73 |
89 |
|
14 |
MALE |
81 |
75 |
|
15 |
MALE |
65 |
60 |
|
16 |
MALE |
70 |
77 |
|
17 |
FEMALE |
77 |
70 |
|
18 |
MALE |
77 |
70 |
|
19 |
MALE |
91 |
88 |
|
20 |
FEMALE |
80 |
72 |
|
21 |
MALE |
82 |
80 |
|
22 |
MALE |
60 |
62 |
|
23 |
MALE |
54 |
68 |
|
24 |
MALE |
70 |
53 |
|
25 |
MALE |
65 |
45 |
|
26 |
FEMALE |
90 |
96 |
|
27 |
FEMALE |
74 |
67 |
|
28 |
FEMALE |
64 |
72 |
|
29 |
FEMALE |
59 |
65 |
|
30 |
FEMALE |
86 |
89 |
|
|
|
|
|
STATISTICAL METHODS
Simple statistical techniques were used to tabulate and analyze the data. The data was analyzed by calculating the measures of central tendencies, measures of dispersions and, measures of location and the correlation between the high score and the college score were analyzed. A scatter plot with a regression line was fitted.
LIMITATION OF THE STUDY
Whereas the confidentiality of the respondents was considered as the students were given random ID numbers, some students may have given inaccurate result and based on this, the data was analyzed at the confidence level of 95%.
FINDINGS
The study was designed to find out if there is a relationship between the entry score of the students and their performance in college. The data on the mathematics performance in high school and the statistics performance in college were collected and recorded in table1 above. The data was analyzed using Excel software. The finding of the descriptive statistics was as shown below. The average performance in high School and college are almost the same showing there is no significant variation in the performance in High school and College.
DESCRIPTIVE STATISTICS
|
|
HIGH SCHOOL (X) |
|
COLLEGE (Y) |
|
|
|
|
|
|
Mean |
73.1 |
|
70.767 |
|
Standard Error |
1.942 |
|
2.627 |
|
Median |
73.5 |
|
70 |
|
Mode |
77 |
|
70 |
|
Standard Deviation |
10.639 |
|
14.390 |
|
Sample Variance |
113.20 |
|
207.082 |
|
Range |
37 |
|
58 |
|
Minimum |
54 |
|
38 |
|
Maximum |
91 |
|
96 |
|
Sum |
2193 |
|
2123 |
|
Count |
30 |
|
30 |
CORRELATION
|
|
HIGH SCHOOL |
COLLEGE |
|
HIGH SCHOOL |
1 |
0.68 |
|
COLLEGE |
0.68 |
1 |
The correlation coefficient between High school and college is r=0.68 showing a positive and moderate but a significant relationship.
The linear relationship between the variables was determined by the equation y = 0.9199x + 3.5232.
A scatter plot of the college Mathematics points vs High School statistics Points
CONCLUSION
Based on these findings, it can be concluded that:
There IS significant relationship between the high school performance and the college performance in mathematics and Statistics respectively.
COLLEGE PERFORMANCES VS HIGH SCHOOL PERFORMANCE
COLLEGE (Y) 78 82 58 77 73 73 75 60 88 89 57 65 73 81 65 70 77 77 91 80 82 60 54 70 65 90 74 64 59 86 65 88 38 77 86 64 78 69 84 68 38 70 89 75 60 77 70 70 88 72 80 62 68 53 45 96 67 72 65 89High School Points (%)
College Points (%)